Hello!
To solve each expression, you need to substitute the given value for each given variable. If there is an <em>x</em> in the expression, then you substitute 5.07. If there's a <em>y</em>, then you substitute 1.5, and if there's a <em>z</em>, then you substitute 0.403.
7. 3.2x + y (substitute x = 5.07 and y = 1.5)
3.2(5.07) + (1.5)
16.224 + 1.5
17.724
8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)
(1.5)(0.403) + (5.07)
0.6045 + 5.07
5.6745
9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)
(0.403) × 7.06 - (1.5)
2.84519 - 1.5
1.34518
<u>Final answers</u>:
- Number 7: 17.724
- Number 8: 5.6745
- Number 9: 1.34518
Length of CB = Length of AB -AC
= 34 - 12 = 22
therefore the answer will be b.22
Step-by-step explanation:
x²-11x+32=4
x²-11x+28=0
(x-4)(x-7)=0
x=4 or x=7
_______
x²+8x-5=4
x²+8x-9=0
(x+9)(x-1)=0
x=-9 or x=1
_______
x²+x+4=5x+1
x²-4x+3=0
(x-1)(x-3)=0
x=1 or x=3
________
x²+x-24=-8x-2
x²+9x-22=0
(x+11)(x-2)=0
x=-11 or x=2
Answer:
<u>The number is 296.</u>
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
. Let's solve the equation to find x.
1. Write the expression.

2. Substract 5 from both sides and simplify.

3. Multiply 8 on both sides and simplify.

<u>We have found our number, it's 296!</u>